TSTP Solution File: SET928+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:56:41 EDT 2023

% Result   : Theorem 43.17s 42.73s
% Output   : Proof 43.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.32  % Computer : n014.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May 18 19:05:57 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 43.17/42.73  
% 43.17/42.73  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.17/42.73  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.17/42.73  %-----------------------------------------------------
% 43.17/42.73  ncf(matrix, plain, [(129 ^ _31929) ^ [] : [138 ^ _31929 : [(143 ^ _31929) ^ [] : [set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ [])], (141 ^ _31929) ^ [] : [in(126 ^ [], 127 ^ [])], (139 ^ _31929) ^ [] : [in(125 ^ [], 127 ^ [])]], 130 ^ _31929 : [(133 ^ _31929) ^ [] : [-(in(125 ^ [], 127 ^ [])), -(in(126 ^ [], 127 ^ []))], (131 ^ _31929) ^ [] : [-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ []))]]], !, (104 ^ _27494) ^ [_31068, _31070, _31072] : [-(in(_31072, _31070)), -(in(_31068, _31070)), -(disjoint(unordered_pair(_31072, _31068), _31070))], (2 ^ _27494) ^ [_27618] : [-(_27618 = _27618)], (90 ^ _27494) ^ [] : [empty(88 ^ [])], (44 ^ _27494) ^ [_28989, _28991, _28993, _28995] : [-(in(_28993, _28989)), in(_28995, _28991), _28995 = _28993, _28991 = _28989], (30 ^ _27494) ^ [_28565, _28567, _28569, _28571] : [-(disjoint(_28569, _28565)), disjoint(_28571, _28567), _28571 = _28569, _28567 = _28565], (114 ^ _27494) ^ [_31400, _31402] : [disjoint(_31402, _31400), -(set_difference(_31402, _31400) = _31402)], (20 ^ _27494) ^ [_28242, _28244] : [-(empty(_28242)), _28244 = _28242, empty(_28244)], (68 ^ _27494) ^ [_29782, _29784, _29786, _29788] : [-(unordered_pair(_29788, _29784) = unordered_pair(_29786, _29782)), _29788 = _29786, _29784 = _29782], (84 ^ _27494) ^ [_30315, _30317] : [-(unordered_pair(_30317, _30315) = unordered_pair(_30315, _30317))], (10 ^ _27494) ^ [_27929, _27931, _27933] : [-(_27933 = _27929), _27933 = _27931, _27931 = _27929], (92 ^ _27494) ^ [_30609, _30611] : [disjoint(_30611, _30609), -(disjoint(_30609, _30611))], (58 ^ _27494) ^ [_29443, _29445, _29447, _29449] : [-(set_difference(_29449, _29445) = set_difference(_29447, _29443)), _29449 = _29447, _29445 = _29443], (78 ^ _27494) ^ [_30119, _30121] : [in(_30121, _30119), in(_30119, _30121)], (4 ^ _27494) ^ [_27725, _27727] : [_27727 = _27725, -(_27725 = _27727)], (98 ^ _27494) ^ [_30833, _30835, _30837] : [disjoint(unordered_pair(_30837, _30835), _30833), in(_30837, _30833)], (120 ^ _27494) ^ [_31568, _31570] : [set_difference(_31570, _31568) = _31570, -(disjoint(_31570, _31568))], (87 ^ _27494) ^ [] : [-(empty(85 ^ []))]], input).
% 43.17/42.73  ncf('1',plain,[143 : set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ []), 133 : -(in(125 ^ [], 127 ^ [])), 133 : -(in(126 ^ [], 127 ^ []))],start(129 ^ 0)).
% 43.17/42.73  ncf('1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ [])), disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])],extension(114 ^ 3,bind([[_31400, _31402], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.1.1',plain,[-(disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), -(in(125 ^ [], 127 ^ [])), -(in(126 ^ [], 127 ^ []))],extension(104 ^ 4,bind([[_31068, _31070, _31072], [126 ^ [], 127 ^ [], 125 ^ []]]))).
% 43.17/42.73  ncf('1.1.1.1',plain,[in(125 ^ [], 127 ^ [])],extension(139 ^ 5)).
% 43.17/42.73  ncf('1.1.1.2',plain,[in(126 ^ [], 127 ^ [])],extension(141 ^ 5)).
% 43.17/42.73  ncf('1.2',plain,[in(125 ^ [], 127 ^ []), disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])],extension(98 ^ 3,bind([[_30833, _30835, _30837], [127 ^ [], 126 ^ [], 125 ^ []]]))).
% 43.17/42.73  ncf('1.2.1',plain,[-(disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []), unordered_pair(125 ^ [], 126 ^ []) = unordered_pair(125 ^ [], 126 ^ []), 127 ^ [] = 127 ^ []],extension(30 ^ 4,bind([[_28565, _28567, _28569, _28571], [127 ^ [], 127 ^ [], unordered_pair(125 ^ [], 126 ^ []), unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.2.1.1',plain,[-(disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ [])],extension(120 ^ 5,bind([[_31568, _31570], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.2.1.1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ []))],extension(131 ^ 6)).
% 43.17/42.73  ncf('1.2.1.2',plain,[-(unordered_pair(125 ^ [], 126 ^ []) = unordered_pair(125 ^ [], 126 ^ []))],extension(2 ^ 5,bind([[_27618], [unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.2.1.3',plain,[-(127 ^ [] = 127 ^ [])],extension(2 ^ 5,bind([[_27618], [127 ^ []]]))).
% 43.17/42.73  ncf('1.3',plain,[in(126 ^ [], 127 ^ []), disjoint(unordered_pair(126 ^ [], 125 ^ []), 127 ^ [])],extension(98 ^ 3,bind([[_30833, _30835, _30837], [127 ^ [], 125 ^ [], 126 ^ []]]))).
% 43.17/42.73  ncf('1.3.1',plain,[-(disjoint(unordered_pair(126 ^ [], 125 ^ []), 127 ^ [])), disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []), unordered_pair(125 ^ [], 126 ^ []) = unordered_pair(126 ^ [], 125 ^ []), 127 ^ [] = 127 ^ []],extension(30 ^ 4,bind([[_28565, _28567, _28569, _28571], [127 ^ [], 127 ^ [], unordered_pair(126 ^ [], 125 ^ []), unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.3.1.1',plain,[-(disjoint(unordered_pair(125 ^ [], 126 ^ []), 127 ^ [])), set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ [])],extension(120 ^ 5,bind([[_31568, _31570], [127 ^ [], unordered_pair(125 ^ [], 126 ^ [])]]))).
% 43.17/42.73  ncf('1.3.1.1.1',plain,[-(set_difference(unordered_pair(125 ^ [], 126 ^ []), 127 ^ []) = unordered_pair(125 ^ [], 126 ^ []))],extension(131 ^ 6)).
% 43.17/42.73  ncf('1.3.1.2',plain,[-(unordered_pair(125 ^ [], 126 ^ []) = unordered_pair(126 ^ [], 125 ^ []))],extension(84 ^ 5,bind([[_30315, _30317], [126 ^ [], 125 ^ []]]))).
% 43.17/42.73  ncf('1.3.1.3',plain,[-(127 ^ [] = 127 ^ [])],extension(2 ^ 5,bind([[_27618], [127 ^ []]]))).
% 43.17/42.73  %-----------------------------------------------------
% 43.17/42.73  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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